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3 years ago

Philip runs at an average speed of 4 m/s.

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Answer:

41 minutes 40 seconds

Step-by-step explanation:

10km = 10000m

10000/4 = 2500 seconds

2500/60 = 41.6666...

Hence, 41 minutes 40 seconds.

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HELP<br><br>Fill in the boxes with fractions are mixed numbers express each answer in simplest form

Arisa [49]

Answer:

first empty box is 3 and 3/8 i think and second empty box is 4 1/2 correct me if im wrong tho :)

Step-by-step explanation:

6 0

3 years ago

Two fair dice are rolled. what is the probability that they sum to: even

Sati [7]

Total number of possible outcomes = 36

Total number of outcomes with sum even = 18

P(even) = 18/36 = 1/2

Answer: 1/2

4 0

4 years ago

Read 2 more answers

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

timama [110]

<span>The value of r represents the reference angle when plotting a point in polar coordinates.
False
</span>

4 0

3 years ago

Plssss do this!!!!! thanks

lisabon 2012 [21]

Answer:

4) SU = TU definition of a midpoint

5) ΔSVU ≅ ΔTWU Side-Side-Side

6) ∠SVU ≅ ∠TWU corresponding parts of congruent triangles are congruent

Step-by-step explanation:

7 0

3 years ago